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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 186 · 40 sums
TalentJR

The method (Read, plan, check): Find the type of question first: power, square or cube, equation, identity, area or interest? Use the method from that lesson, step by step. Check: square or cube your root back, put equation answers back in, and work interest year by year.

NameDateTime takenScore ___ / 40
  1. 1.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  2. 2.Find the value of x² − y² when x = 8 and y = 7.
  3. 3.A trapezium has parallel sides of 24 cm and 15 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  4. 4.Write 6⁹ × 6⁶ as a single power 6ⁿ. What is n?
  5. 5.What is 29²? =
  6. 6.The length of a rectangle is 11 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
  7. 7.If a − b = 2 and ab = 3, what is a² + b²?
  8. 8.The sum of two consecutive whole numbers is 33. What is the smallest of them?
  9. 9.A square garden has an area of 1225 square m. How long is each side (in m)?
  10. 10.What is the value of 2¹³? =
  11. 11.What is the value of 4⁻⁴ (as a fraction)? =
  12. 12.What is ∛729? =
  13. 13.The length of a rectangle is 6 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
  14. 14.A father is 24 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
  15. 15.What is ∛216? =
  16. 16.A trapezium has an area of 68 square cm. Its parallel sides are 15 cm and 2 cm. What is the distance between them (in cm)?
  17. 17.Use (a − b)² = a² − 2ab + b² to find 59².
  18. 18.A room is 7 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  19. 19.Solve: 7t + 11 = 2t + 21. What is t?
  20. 20.The diagonals of a rhombus are 8 cm and 18 cm. What is its area (in square cm)?
  21. 21.Solve: 5(n − 1) = 3n + 5. What is n?
  22. 22.What is the value of 3²? =
  23. 23.A room is 6 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  24. 24.What is the difference between the compound interest and the simple interest on ₹17500 at 12% per year for 2 years (in ₹)?
  25. 25.What amount will ₹11800 grow to in 2 years at 10% per year compound interest (in ₹)?
  26. 26.If a − b = 7 and ab = 18, what is a² + b²?
  27. 27.What is the value of 6²? =
  28. 28.Use a² − b² = (a + b)(a − b) to find 76² − 1².
  29. 29.What is ∛8? =
  30. 30.Use (a − b)² = a² − 2ab + b² to find 56².
  31. 31.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  32. 32.How many whole numbers lie between 32² and 33²?
  33. 33.Use (a − b)² = a² − 2ab + b² to find 45².
  34. 34.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  35. 35.What is the sum of the first 30 odd numbers (1 + 3 + 5 + …)?
  36. 36.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  37. 37.Write 9.3 × 10⁻² as a decimal. =
  38. 38.What is √4096? =
  39. 39.Find the value of x² − y² when x = 12 and y = 6.
  40. 40.What is 14³? =

Answer key

  1. 4
  2. 15
  3. 156
  4. 15
  5. 841
  6. 16
  7. 10
  8. 16
  9. 35
  10. 8192
  11. 1/256
  12. 9
  13. 7
  14. 10
  15. 6
  16. 8
  17. 3481
  18. 60
  19. 2
  20. 72
  21. 5
  22. 9
  23. 90
  24. 252
  25. 14278
  26. 85
  27. 36
  28. 5775
  29. 2
  30. 3136
  31. 19
  32. 64
  33. 2025
  34. 18
  35. 900
  36. 12
  37. 0.093
  38. 64
  39. 108
  40. 2744

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